- #1

Gogsey

- 160

- 0

This is a question about modes in step index fibers, however its just the math in the following equations that I'm having trouble with, so you don't need to know the question.

basically we have the following 2 equations:

J

_{1}/uJ

_{0}+ K

_{1}/wK

_{0}= 0

k

_{1}

^{2}J

_{1}/uJ

_{0}+ k

_{2}

^{2}K

_{1}/wK

_{0}= 0

where J

_{n}is a first order Bessel function, and K

_{n}is a second order Bessel function.

We have to prove this but I have no idea how to do it. I've looked up various Bessel functions for all the J

_{n}and K

_{n}values so I could input them into the equation, but its so complicated and there's multiple expressions for them, I don't think that's what we are supposed to do.